Calculate ctg x, when x (0, 2) and sin x =17.SolutionIf x.pdf

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This document provides a solution to calculating cotangent (ctg) x when x is between 0 and pi/2 and sine x equals 1/sqrt(7). It notes that since x is in the first quadrant, cotangent x must be positive. It then uses the fundamental trigonometry formula that the square of sine x plus the square of cosine x equals 1 to find that cosine x equals the square root of 1 - (1/sqrt(7))^2.

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Calculate ctg x, when x? (0, ?/2) and sin x =1/?7.
Solution
If x belongs to the first quadrant, that means that all trigonometric functions have positive values,
so ctg x>0.
There are several possibilities to find out the value of ctg x, one of them being the use of
fundamental formula for trigonometry:
(sin x)^2 + (cos x)^2 =1
(1/?7) ^2 + (cos x)^2 =1
cos x= sqrt (1

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